778989960 has 288 divisors, whose sum is σ = 3028858560. Its totient is φ = 176390784.

The previous prime is 778989931. The next prime is 778989961. The reversal of 778989960 is 69989877.

778989960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (778989961) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7280227 + ... + 7280333.

It is an arithmetic number, because the mean of its divisors is an integer number (10516870).

Almost surely, 2^778989960 is an apocalyptic number.

778989960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 778989960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514429280).

778989960 is an abundant number, since it is smaller than the sum of its proper divisors (2249868600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

778989960 is a wasteful number, since it uses less digits than its factorization.

778989960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The square root of 778989960 is about 27910.3916131609. The cubic root of 778989960 is about 920.1189039765.

The spelling of 778989960 in words is "seven hundred seventy-eight million, nine hundred eighty-nine thousand, nine hundred sixty".